Answer:
21 inches
Step-by-step explanation:
refer to attached graphics
we can find the height by the Pythagorean theorem.
diagonal² = width² + height²
height² = diagonal² - width²
we are given that diagonal = 29" and width = 20", hence
height² = 29² - 20²
height² = 841 - 400
height² = 441
height = √441 = 21 inches
Using the distance formula, the distance around the park = 190.6 units.
<h3>How to Find Distance Using the distance Formula?</h3>
Distance formula is given as, .
To find the distance around the park, find the length of PQ, QR, and PR:
Use the distance formula to find the distance between points P and R:
P(10, 50)
R(80, 10)
PR = √[(80−10)² + (10−50)²]
PR = √[(70)² + (−40)²]
PR = √(4900 + 1600)
PR = √6500
PR ≈ 80.6 units
PQ = |50 - 10| = 40 units
QR = |80 - 10| = 70 units
Thus, the distance around the park = PQ + QR + PR = 40 + 70 + 80.6
Thus, the distance around the park = 190.6 units.
Learn more about distance formula on:
brainly.com/question/661229
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<h3>
Answer: D) 0</h3>
Work Shown:
f(x) = 4x^(-2) + (1/4)x^2 + 4
f ' (x) = 4*(-2)x^(-3) + (1/4)*2x .... power rule
f ' (x) = -8x^(-3) + (1/2)x
f ' (2) = -8(2)^(-3) + (1/2)*(2)
f ' (2) = 0
Hai, Brainiac!
Great question!
Basically to find the answer, first you add the number of each marble there is.
5 black marbles + 9 white marbles + 2 red marbles = 16 marbles altogether.
Red marbles to the total number of marbles altogether is 2:16, a ratio.
Simplified, that would be 1:8 marbles, or, answer choice B, so your answer would be 1/8 :D
Hope this helps!
Message me bestie if you need anything else! :D
Step-by-step explanation:
- 5×13= 65
- 3×16=48
- 65+48=113